Search a number
-
+
172461795072 = 2837311034837
BaseRepresentation
bin1010000010011110000…
…1100010011100000000
3121111011011021221002120
42200213201202130000
510311200204420242
6211121114444240
715313523033160
oct2404741423400
9544134257076
10172461795072
1167160207256
1229511133680
1313355c9aa68
1484c09c05a0
154745a2b1ec
hex2827862700

172461795072 has 144 divisors (see below), whose sum is σ = 541493471232. Its totient is φ = 47685242880.

The previous prime is 172461795029. The next prime is 172461795073. The reversal of 172461795072 is 270597164271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172461795073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350763 + ... + 684074.

It is an arithmetic number, because the mean of its divisors is an integer number (3760371328).

Almost surely, 2172461795072 is an apocalyptic number.

172461795072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

172461795072 is an abundant number, since it is smaller than the sum of its proper divisors (369031676160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172461795072 is a wasteful number, since it uses less digits than its factorization.

172461795072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034894 (or 1034880 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 172461795072 in words is "one hundred seventy-two billion, four hundred sixty-one million, seven hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 10416 11904 13888 20832 23808 27776 41664 55552 83328 166656 1034837 2069674 3104511 4139348 6209022 7243859 8278696 12418044 14487718 16557392 21731577 24836088 28975436 32079947 33114784 43463154 49672176 57950872 64159894 66229568 86926308 96239841 99344352 115901744 128319788 132459136 173852616 192479682 198688704 224559629 231803488 256639576 264918272 347705232 384959364 397377408 449119258 463606976 513279152 673678887 695410464 769918728 794754816 898238516 927213952 1026558304 1347357774 1390820928 1539837456 1796477032 1854427904 2053116608 2694715548 2781641856 3079674912 3592954064 4106233216 5389431096 5563283712 6159349824 7185908128 8212466432 10778862192 12318699648 14371816256 21557724384 24637399296 28743632512 43115448768 57487265024 86230897536 172461795072